Theorems · Theorem · number theory
NNRat.num_coe
∀ (q : ℚ≥0), (↑q).num = ↑q.num
- Defined in
- Mathlib.Data.NNRat.Defs
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRatstatement and proof · cited by 523
- abs_of_nonnegproof · cited by 279
- NNRat.caststatement and proof · cited by 235
- NNRat.numstatement · cited by 53
- Int.natCast_natAbsproof · cited by 24
Cited by14
Results whose statement or proof uses this declaration.
- NNRat.inv_defproof · cited by 3
- NNRat.mul_den_eq_numproof · cited by 2
- NNRat.lt_defproof · cited by 1
- NNRat.add_defproof · cited by 1
- NNRat.mul_defproof · cited by 1
- NNRat.div_defproof · cited by 1
- NNRat.num_divNat_denproof · cited by 1
- NNRat.ext_num_denproof · cited by 1
- NNRat.le_defproof · cited by 0
- NNRat.den_mul_den_eq_den_mul_gcdproof · cited by 0
- NNRat.mul_denproof · cited by 0
- NNRat.mul_numproof · cited by 0